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Finding the Third Proportional to 332,105.06 and 711,453.38

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Solution

The third proportional to 332,105.06 and 711,453.38 is: 1,524,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,105.06 : 711,453.38 = 711,453.38 : x
  2. Step 2: Convert to fraction form
    332,105.06/711,453.38 = 711,453.38/x
  3. Step 3: Cross multiply
    332,105.06x = 711,453.38 × 711,453.38
  4. Step 4: Simplify right side
    332,105.06x = 506,165,904,798.89
  5. Step 5: Solve for x
    x = 506,165,904,798.89/332,105.06
  6. Step 6: Final answer
    x = 1,524,113.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.